scholarly journals Ground-state phases of the spin-1J1−J2Heisenberg antiferromagnet on the honeycomb lattice

2016 ◽  
Vol 93 (21) ◽  
Author(s):  
P. H. Y. Li ◽  
R. F. Bishop
Keyword(s):  
Ground State ◽  
Honeycomb Lattice ◽  
Ground State Phases

scholarly journals Ground-state phases of the frustrated spin-12J1–J2–J3Heisenberg ferromagnet (J10

2012 ◽  
Vol 85 (8) ◽  
Author(s):  
P. H. Y. Li ◽  
R. F. Bishop ◽  
D. J. J. Farnell ◽  
J. Richter ◽  
C. E. Campbell
Keyword(s):  
Ground State ◽  
Honeycomb Lattice ◽  
Frustrated Spin ◽  
Ground State Phases

scholarly journals Interacting bosonic flux ladders with a synthetic dimension: Ground-state phases and quantum quench dynamics

2020 ◽  
Vol 102 (5) ◽  
Author(s):  
Maximilian Buser ◽  
Claudius Hubig ◽  
Ulrich Schollwöck ◽  
Leticia Tarruell ◽  
Fabian Heidrich-Meisner
Keyword(s):  
Ground State ◽  
Quantum Quench ◽  
Quench Dynamics ◽  
Ground State Phases

WANG–LANDAU SIMULATION ON THERMODYNAMIC AND MAGNETIC PROPERTIES OF HONEYCOMB LATTICE

2011 ◽  
Vol 25 (26) ◽  
pp. 3435-3442
Author(s):  
XIAOYAN YAO
Keyword(s):  
Magnetic Field ◽  
Monte Carlo Simulation ◽  
Magnetic Properties ◽  
Free Energy ◽  
Magnetic Susceptibility ◽  
Magnetic Property ◽  
Ground State ◽  
Antiferromagnetic Order ◽  
Honeycomb Lattice ◽  
Antiferromagnetic Ising Model

Wang–Landau algorithm of Monte Carlo simulation is performed to understand the thermodynamic and magnetic properties of antiferromagnetic Ising model on honeycomb lattice. The internal energy, specific heat, free energy and entropy are calculated to present the thermodynamic behavior. For magnetic property, the magnetization and magnetic susceptibility are discussed at different temperature upon different magnetic field. The antiferromagnetic order is confirmed to be the ground state of the system, and it can be destroyed by a large magnetic field.

scholarly journals Time-reversal symmetry breaking superconducting ground state in the doped Mott insulator on the honeycomb lattice

2013 ◽  
Vol 88 (15) ◽  
Author(s):  
Zheng-Cheng Gu ◽  
Hong-Chen Jiang ◽  
D. N. Sheng ◽  
Hong Yao ◽  
Leon Balents ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Ground State ◽  
Time Reversal ◽  
Mott Insulator ◽  
Honeycomb Lattice ◽  
Time Reversal Symmetry ◽  
Doped Mott Insulator

scholarly journals Ground-state phases of a mixture of spin-1 and spin-2 Bose-Einstein condensates

2018 ◽  
Vol 97 (2) ◽  
Author(s):  
Naoki Irikura ◽  
Yujiro Eto ◽  
Takuya Hirano ◽  
Hiroki Saito
Keyword(s):  
Ground State ◽  
Bose Einstein ◽  
Ground State Phases

2D ISING MODEL WITH COMPETING INTERACTIONS AND ITS APPLICATION TO CLUSTERS AND ARRAYS OF π-RINGS, GRAPHENE AND ADIABATIC QUANTUM COMPUTING

2009 ◽  
Vol 23 (20n21) ◽  
pp. 3951-3967 ◽  
Author(s):  
ANTHONY O'HARE ◽  
F. V. KUSMARTSEV ◽  
K. I. KUGEL
Keyword(s):  
Quantum Computing ◽  
Ising Model ◽  
Ground State ◽  
Honeycomb Lattice ◽  
Graphene Plane ◽  
Two Dimensional ◽  
Coupling Constant ◽  
Competing Interactions ◽  
Adiabatic Quantum Computing ◽  
Ising Spins

We study the two-dimensional Ising model with competing nearest-neighbour and diagonal interactions and investigate the phase diagram of this model. We show that the ground state at low temperatures is ordered either as stripes or as the Néel antiferromagnet. However, we also demonstrate that the energy of defects and dislocations in the lattice is close to the ground state of the system. Therefore, many locally stable (or metastable) states associated with local energy minima separated by energy barriers may appear forming a glass-like state. We discuss the results in connection with two physically different systems. First, we deal with planar clusters of loops including a Josephson π-junction (a π-rings). Each π-ring carries a persistent current and behaves as a classical orbital moment. The type of particular state associated with the orientation of orbital moments in the cluster depends on the interaction between these orbital moments and can be easily controlled, i.e. by a bias current or by other means. Second, we apply the model to the analysis of the structure of the newly discovered two-dimensional form of carbon, graphene. Carbon atoms in graphene form a planar honeycomb lattice. Actually, the graphene plane is not ideal but corrugated. The displacement of carbon atoms up and down from the plane can be also described in terms of Ising spins, the interaction of which determines the complicated shape of the corrugated graphene plane. The obtained results may be verified in experiments and are also applicable to adiabatic quantum computing where the states are switched adiabatically with the slow change of coupling constant.

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